#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (13)";

double f_if(float n, float U, float t, float l, float Om, float U_) {
        float r15678 = 2.0f;
        float r15679 = n;
        float r15680 = r15678 * r15679;
        float r15681 = U;
        float r15682 = r15680 * r15681;
        float r15683 = t;
        float r15684 = l;
        float r15685 = r15684 * r15684;
        float r15686 = Om;
        float r15687 = r15685 / r15686;
        float r15688 = r15678 * r15687;
        float r15689 = r15683 - r15688;
        float r15690 = r15684 / r15686;
        float r15691 = r15690 * r15690;
        float r15692 = r15679 * r15691;
        float r15693 = U_;
        float r15694 = r15681 - r15693;
        float r15695 = r15692 * r15694;
        float r15696 = r15689 - r15695;
        float r15697 = r15682 * r15696;
        float r15698 = sqrt(r15697);
        return r15698;
}

double f_id(double n, double U, double t, double l, double Om, double U_) {
        double r15699 = 2.0;
        double r15700 = n;
        double r15701 = r15699 * r15700;
        double r15702 = U;
        double r15703 = r15701 * r15702;
        double r15704 = t;
        double r15705 = l;
        double r15706 = r15705 * r15705;
        double r15707 = Om;
        double r15708 = r15706 / r15707;
        double r15709 = r15699 * r15708;
        double r15710 = r15704 - r15709;
        double r15711 = r15705 / r15707;
        double r15712 = r15711 * r15711;
        double r15713 = r15700 * r15712;
        double r15714 = U_;
        double r15715 = r15702 - r15714;
        double r15716 = r15713 * r15715;
        double r15717 = r15710 - r15716;
        double r15718 = r15703 * r15717;
        double r15719 = sqrt(r15718);
        return r15719;
}


double f_of(float n, float U, float t, float l, float Om, float U_) {
        float r15720 = t;
        float r15721 = 1.1369104394377624e+150f;
        bool r15722 = r15720 <= r15721;
        float r15723 = 2.0f;
        float r15724 = n;
        float r15725 = r15723 * r15724;
        float r15726 = U;
        float r15727 = r15725 * r15726;
        float r15728 = l;
        float r15729 = Om;
        float r15730 = r15729 / r15728;
        float r15731 = r15728 / r15730;
        float r15732 = r15723 * r15731;
        float r15733 = r15720 - r15732;
        float r15734 = r15728 / r15729;
        float r15735 = r15724 * r15734;
        float r15736 = r15735 * r15734;
        float r15737 = U_;
        float r15738 = r15726 - r15737;
        float r15739 = r15736 * r15738;
        float r15740 = r15733 - r15739;
        float r15741 = r15727 * r15740;
        float r15742 = sqrt(r15741);
        float r15743 = sqrt(r15727);
        float r15744 = r15734 * r15734;
        float r15745 = r15724 * r15744;
        float r15746 = r15745 * r15738;
        float r15747 = r15733 - r15746;
        float r15748 = sqrt(r15747);
        float r15749 = r15743 * r15748;
        float r15750 = r15722 ? r15742 : r15749;
        return r15750;
}

double f_od(double n, double U, double t, double l, double Om, double U_) {
        double r15751 = t;
        double r15752 = 1.1369104394377624e+150;
        bool r15753 = r15751 <= r15752;
        double r15754 = 2.0;
        double r15755 = n;
        double r15756 = r15754 * r15755;
        double r15757 = U;
        double r15758 = r15756 * r15757;
        double r15759 = l;
        double r15760 = Om;
        double r15761 = r15760 / r15759;
        double r15762 = r15759 / r15761;
        double r15763 = r15754 * r15762;
        double r15764 = r15751 - r15763;
        double r15765 = r15759 / r15760;
        double r15766 = r15755 * r15765;
        double r15767 = r15766 * r15765;
        double r15768 = U_;
        double r15769 = r15757 - r15768;
        double r15770 = r15767 * r15769;
        double r15771 = r15764 - r15770;
        double r15772 = r15758 * r15771;
        double r15773 = sqrt(r15772);
        double r15774 = sqrt(r15758);
        double r15775 = r15765 * r15765;
        double r15776 = r15755 * r15775;
        double r15777 = r15776 * r15769;
        double r15778 = r15764 - r15777;
        double r15779 = sqrt(r15778);
        double r15780 = r15774 * r15779;
        double r15781 = r15753 ? r15773 : r15780;
        return r15781;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r15782, r15783, r15784, r15785, r15786, r15787, r15788, r15789, r15790, r15791, r15792, r15793, r15794, r15795, r15796, r15797, r15798, r15799, r15800, r15801, r15802;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(144);
        mpfr_init_set_str(r15782, "2", 10, MPFR_RNDN);
        mpfr_init(r15783);
        mpfr_init(r15784);
        mpfr_init(r15785);
        mpfr_init(r15786);
        mpfr_init(r15787);
        mpfr_init(r15788);
        mpfr_init(r15789);
        mpfr_init(r15790);
        mpfr_init(r15791);
        mpfr_init(r15792);
        mpfr_init(r15793);
        mpfr_init(r15794);
        mpfr_init(r15795);
        mpfr_init(r15796);
        mpfr_init(r15797);
        mpfr_init(r15798);
        mpfr_init(r15799);
        mpfr_init(r15800);
        mpfr_init(r15801);
        mpfr_init(r15802);
}

double f_im(double n, double U, double t, double l, double Om, double U_) {
        ;
        mpfr_set_d(r15783, n, MPFR_RNDN);
        mpfr_mul(r15784, r15782, r15783, MPFR_RNDN);
        mpfr_set_d(r15785, U, MPFR_RNDN);
        mpfr_mul(r15786, r15784, r15785, MPFR_RNDN);
        mpfr_set_d(r15787, t, MPFR_RNDN);
        mpfr_set_d(r15788, l, MPFR_RNDN);
        mpfr_sqr(r15789, r15788, MPFR_RNDN);
        mpfr_set_d(r15790, Om, MPFR_RNDN);
        mpfr_div(r15791, r15789, r15790, MPFR_RNDN);
        mpfr_mul(r15792, r15782, r15791, MPFR_RNDN);
        mpfr_sub(r15793, r15787, r15792, MPFR_RNDN);
        mpfr_div(r15794, r15788, r15790, MPFR_RNDN);
        mpfr_sqr(r15795, r15794, MPFR_RNDN);
        mpfr_mul(r15796, r15783, r15795, MPFR_RNDN);
        mpfr_set_d(r15797, U_, MPFR_RNDN);
        mpfr_sub(r15798, r15785, r15797, MPFR_RNDN);
        mpfr_mul(r15799, r15796, r15798, MPFR_RNDN);
        mpfr_sub(r15800, r15793, r15799, MPFR_RNDN);
        mpfr_mul(r15801, r15786, r15800, MPFR_RNDN);
        mpfr_sqrt(r15802, r15801, MPFR_RNDN);
        return mpfr_get_d(r15802, MPFR_RNDN);
}

static mpfr_t r15803, r15804, r15805, r15806, r15807, r15808, r15809, r15810, r15811, r15812, r15813, r15814, r15815, r15816, r15817, r15818, r15819, r15820, r15821, r15822, r15823, r15824, r15825, r15826, r15827, r15828, r15829, r15830, r15831, r15832, r15833;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15803);
        mpfr_init_set_str(r15804, "1.1369104394377624e+150", 10, MPFR_RNDN);
        mpfr_init(r15805);
        mpfr_init_set_str(r15806, "2", 10, MPFR_RNDN);
        mpfr_init(r15807);
        mpfr_init(r15808);
        mpfr_init(r15809);
        mpfr_init(r15810);
        mpfr_init(r15811);
        mpfr_init(r15812);
        mpfr_init(r15813);
        mpfr_init(r15814);
        mpfr_init(r15815);
        mpfr_init(r15816);
        mpfr_init(r15817);
        mpfr_init(r15818);
        mpfr_init(r15819);
        mpfr_init(r15820);
        mpfr_init(r15821);
        mpfr_init(r15822);
        mpfr_init(r15823);
        mpfr_init(r15824);
        mpfr_init(r15825);
        mpfr_init(r15826);
        mpfr_init(r15827);
        mpfr_init(r15828);
        mpfr_init(r15829);
        mpfr_init(r15830);
        mpfr_init(r15831);
        mpfr_init(r15832);
        mpfr_init(r15833);
}

double f_fm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15803, t, MPFR_RNDN);
        ;
        mpfr_set_si(r15805, mpfr_cmp(r15803, r15804) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15807, n, MPFR_RNDN);
        mpfr_mul(r15808, r15806, r15807, MPFR_RNDN);
        mpfr_set_d(r15809, U, MPFR_RNDN);
        mpfr_mul(r15810, r15808, r15809, MPFR_RNDN);
        mpfr_set_d(r15811, l, MPFR_RNDN);
        mpfr_set_d(r15812, Om, MPFR_RNDN);
        mpfr_div(r15813, r15812, r15811, MPFR_RNDN);
        mpfr_div(r15814, r15811, r15813, MPFR_RNDN);
        mpfr_mul(r15815, r15806, r15814, MPFR_RNDN);
        mpfr_sub(r15816, r15803, r15815, MPFR_RNDN);
        mpfr_div(r15817, r15811, r15812, MPFR_RNDN);
        mpfr_mul(r15818, r15807, r15817, MPFR_RNDN);
        mpfr_mul(r15819, r15818, r15817, MPFR_RNDN);
        mpfr_set_d(r15820, U_, MPFR_RNDN);
        mpfr_sub(r15821, r15809, r15820, MPFR_RNDN);
        mpfr_mul(r15822, r15819, r15821, MPFR_RNDN);
        mpfr_sub(r15823, r15816, r15822, MPFR_RNDN);
        mpfr_mul(r15824, r15810, r15823, MPFR_RNDN);
        mpfr_sqrt(r15825, r15824, MPFR_RNDN);
        mpfr_sqrt(r15826, r15810, MPFR_RNDN);
        mpfr_sqr(r15827, r15817, MPFR_RNDN);
        mpfr_mul(r15828, r15807, r15827, MPFR_RNDN);
        mpfr_mul(r15829, r15828, r15821, MPFR_RNDN);
        mpfr_sub(r15830, r15816, r15829, MPFR_RNDN);
        mpfr_sqrt(r15831, r15830, MPFR_RNDN);
        mpfr_mul(r15832, r15826, r15831, MPFR_RNDN);
        if (mpfr_get_si(r15805, MPFR_RNDN)) { mpfr_set(r15833, r15825, MPFR_RNDN); } else { mpfr_set(r15833, r15832, MPFR_RNDN); };
        return mpfr_get_d(r15833, MPFR_RNDN);
}

static mpfr_t r15834, r15835, r15836, r15837, r15838, r15839, r15840, r15841, r15842, r15843, r15844, r15845, r15846, r15847, r15848, r15849, r15850, r15851, r15852, r15853, r15854, r15855, r15856, r15857, r15858, r15859, r15860, r15861, r15862, r15863, r15864;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(144);
        mpfr_init(r15834);
        mpfr_init_set_str(r15835, "1.1369104394377624e+150", 10, MPFR_RNDN);
        mpfr_init(r15836);
        mpfr_init_set_str(r15837, "2", 10, MPFR_RNDN);
        mpfr_init(r15838);
        mpfr_init(r15839);
        mpfr_init(r15840);
        mpfr_init(r15841);
        mpfr_init(r15842);
        mpfr_init(r15843);
        mpfr_init(r15844);
        mpfr_init(r15845);
        mpfr_init(r15846);
        mpfr_init(r15847);
        mpfr_init(r15848);
        mpfr_init(r15849);
        mpfr_init(r15850);
        mpfr_init(r15851);
        mpfr_init(r15852);
        mpfr_init(r15853);
        mpfr_init(r15854);
        mpfr_init(r15855);
        mpfr_init(r15856);
        mpfr_init(r15857);
        mpfr_init(r15858);
        mpfr_init(r15859);
        mpfr_init(r15860);
        mpfr_init(r15861);
        mpfr_init(r15862);
        mpfr_init(r15863);
        mpfr_init(r15864);
}

double f_dm(double n, double U, double t, double l, double Om, double U_) {
        mpfr_set_d(r15834, t, MPFR_RNDN);
        ;
        mpfr_set_si(r15836, mpfr_cmp(r15834, r15835) <= 0, MPFR_RNDN);
        ;
        mpfr_set_d(r15838, n, MPFR_RNDN);
        mpfr_mul(r15839, r15837, r15838, MPFR_RNDN);
        mpfr_set_d(r15840, U, MPFR_RNDN);
        mpfr_mul(r15841, r15839, r15840, MPFR_RNDN);
        mpfr_set_d(r15842, l, MPFR_RNDN);
        mpfr_set_d(r15843, Om, MPFR_RNDN);
        mpfr_div(r15844, r15843, r15842, MPFR_RNDN);
        mpfr_div(r15845, r15842, r15844, MPFR_RNDN);
        mpfr_mul(r15846, r15837, r15845, MPFR_RNDN);
        mpfr_sub(r15847, r15834, r15846, MPFR_RNDN);
        mpfr_div(r15848, r15842, r15843, MPFR_RNDN);
        mpfr_mul(r15849, r15838, r15848, MPFR_RNDN);
        mpfr_mul(r15850, r15849, r15848, MPFR_RNDN);
        mpfr_set_d(r15851, U_, MPFR_RNDN);
        mpfr_sub(r15852, r15840, r15851, MPFR_RNDN);
        mpfr_mul(r15853, r15850, r15852, MPFR_RNDN);
        mpfr_sub(r15854, r15847, r15853, MPFR_RNDN);
        mpfr_mul(r15855, r15841, r15854, MPFR_RNDN);
        mpfr_sqrt(r15856, r15855, MPFR_RNDN);
        mpfr_sqrt(r15857, r15841, MPFR_RNDN);
        mpfr_sqr(r15858, r15848, MPFR_RNDN);
        mpfr_mul(r15859, r15838, r15858, MPFR_RNDN);
        mpfr_mul(r15860, r15859, r15852, MPFR_RNDN);
        mpfr_sub(r15861, r15847, r15860, MPFR_RNDN);
        mpfr_sqrt(r15862, r15861, MPFR_RNDN);
        mpfr_mul(r15863, r15857, r15862, MPFR_RNDN);
        if (mpfr_get_si(r15836, MPFR_RNDN)) { mpfr_set(r15864, r15856, MPFR_RNDN); } else { mpfr_set(r15864, r15863, MPFR_RNDN); };
        return mpfr_get_d(r15864, MPFR_RNDN);
}

